SOLUTION: Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2mn - 15mn + 6n + 3mn - 22mn + 7n + ___

Algebra ->  Expressions-with-variables -> SOLUTION: Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2mn - 15mn + 6n + 3mn - 22mn + 7n + ___      Log On


   



Question 1209014: Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2mn - 15mn + 6n + 3mn - 22mn + 7n + ___

Answer by ikleyn(52859) About Me  (Show Source):
You can put this solution on YOUR website!
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Fill in the blank with a constant, so that the resulting expression can be factored
as the product of two linear expressions:
2mn - 15mn + 6n + 3mn - 22mn + 7n + ___
~~~~~~~~~~~~~~~~~~

2mn - 15mn + 6n + 3mn - 22mn + 7n = (2 - 15 + 3 - 22)mn + (6+7)n = -32mn + 13n = (-32m+13)*n.


The blank can be zero, and then  (-32+13)*n is the desired decomposition into the product 
of two linear expressions  (-32m+13) and n.